1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Leya [2.2K]
3 years ago
15

Given points (r1, u1 ) and (r2, u2) in polar coordinates, obtain a general formula for the distance between them. Simplify it as

much as possible using the identity cos2 u 1 sin2 u 5 1. Hint: Write the expressions for the two points in Cartesian coordinates and substitute into the usual distance formula.
Mathematics
1 answer:
sertanlavr [38]3 years ago
6 0

Answer:

  d=\sqrt{r_1^2+r_2^2-2r_1r_2\cos(u_2-u_1)}

Step-by-step explanation:

The Law of Cosines gives an immediate result. No translation to Cartesian coordinates is necessary. That law makes use of the angle between the vectors, u2-u1

  d^2=r_1^2+r_2^2-2r_1r_2\cos(u_2-u_1)\\\\\boxed{d=\sqrt{r_1^2+r_2^2-2r_1r_2\cos(u_2-u_1)}}

You might be interested in
X+3=5 help plz plz plz
Bogdan [553]

Answer:

x=2

Step-by-step explanation:

5-3=2

x=2

8 0
3 years ago
Read 2 more answers
How to equivalent 64 1/2​
bagirrra123 [75]

Answer:

129/2

Step-by-step explanation:

      1                129

64  ---     =       -------

      2                 2

To find the improper fraction, you multiply the denominator by the whole number and then add the numerator.  In the end, you put that answer over the starting denominator.

64 X 2 = 128      128 + 1 = 129     129 / 2 is the answer

7 0
2 years ago
Grace is three times as old as Hans, but in 5 years she will be twice as old as Hans is then. How old are they now? Set up an th
frosja888 [35]

Answer:

3x - y = 0; 2x - y = -5

Step-by-step explanation:

Let x be the present age of Hans and y be the present age of Grace,

Since, in present Grace is three times as old as Hans,

⇒ y = 3x

⇒ 3x - y = 0

Now, after 5 years,

The age of Hans = x + 5,

And, the age of Grace = y + 5

Also, in 5 years Grace will be twice as old as Hans is then,

⇒ y + 5 = 2 ( x + 5 )

⇒ y + 5 = 2x + 10

⇒ 2x - y = -5

Hence, the required system of linear equations is,

3x - y = 0; 2x - y = -5

5 0
3 years ago
Which of the following is closest to 27.8 × 9.6? A. 280 B. 300 C. 2,800 D. 3,000
Alisiya [41]
27.8 × 9.6 is equal to <span>266.88</span><span>
So, the closest would be A. 280.</span>
3 0
3 years ago
Read 2 more answers
A technician charges P 400 per hour and spends P 500 a day on gasoline. Write an alcat expression to represent his earnings for
Basile [38]

Answer:

y=400*x-500

Step-by-step explanation:

The expression that represents the problem is:

y=400*x-500

Function y represents earnings for one day.

400 is the fixed number that is charge for one hour work

x represents the number of hours that the technician has worked for one day

To find the total earnings you should multiply the fixed charge for one hour work (400) by the number of hours worked in a day.

Then you need to substract the cost of gasoline in a day, it is 500 and it is a constant in the equation since it doesn't depend on the number of hours worked.

So, the function is:

y=400*x-500

4 0
3 years ago
Other questions:
  • There are ten people in the Baking Club, including Mark. They choose $3$ people to form an executive committee. How many possibl
    7·1 answer
  • Find the probability of drawing 3 Aces at random from a deck of 52 ordinary playing cards if the cards are:_________
    10·1 answer
  • What is the GCF of 35,42,38
    9·1 answer
  • I need help with part b. I feel like there’s a catch, I want to do the first derivative test, however, I feel like there is a be
    13·1 answer
  • What is 11/2 * 3/22 ?
    14·2 answers
  • Quadrilateral DEFG has vertices at D(−2,2), E(−1,4), F(2,3), and G(−1,−2). Find the vertices of the quadrilateral after a dilati
    5·1 answer
  • A biology teacher has developed a new method of teaching chi-square tests to her students. She claims this new method will impro
    5·1 answer
  • Plz help. Will give brainliest
    15·1 answer
  • Can someone help me with this ASAP please I’m being timed !
    13·1 answer
  • Can someone please help me please I really need help please help
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!